Remark 1 The core ideas and sampling techniques in Algorithm REF  are the same as in prior work [1]}, [2]}, [3]}, [4]}, [5]}, but with the different parameters setting for choosing \(p\)  rows and columns. Such parameters can make the error between the matrix \(A\)  and the low-rank matrix approximation \(\hat{U}\hat{U}^{T}A\)  smaller.

